Calculus Part 1 (Differential Calculus)
Learn differential calculus topics such as limits, continuity, and differentiability. This course is perfect for secondary and high school students, as well as those preparing for calculus tests and exams. Gain a solid understanding of functions, derivatives, and applications of derivatives, including rate of change, maxima and minima, and tangents. Improve your skills in solving problems involving algebraic, trigonometric, logarithmic, and exponential functions. Prepare yourself for success in calculus with this comprehensive course.
What you’ll learn
- Perform Differentiation using Limit method
- Explicit and Implicit Functions
- Chain Rule, Product Rule
- Second Order Derivatives
- Rate of Change of Derivatives
- Increasing and Decreasing Function
- Maxima and Minima
In this course I’ll teach differential calculus topics,
LIMIT, CONTINUITY AND DIFFERENTIABILITY:
Real – valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse function. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order up to two, Rolle’s and Lagrange’s Mean value Theorems, Applications of derivatives: Rate of change of quantities, monotonic- Increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normal.
In this course I’ll teach differential calculus topics,
LIMIT, CONTINUITY AND DIFFERENTIABILITY:
Real – valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse function. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order up to two, Rolle’s and Lagrange’s Mean value Theorems, Applications of derivatives: Rate of change of quantities, monotonic- Increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normal.
In this course I’ll teach differential calculus topics,
LIMIT, CONTINUITY AND DIFFERENTIABILITY:
Real – valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse function. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order up to two, Rolle’s and Lagrange’s Mean value Theorems, Applications of derivatives: Rate of change of quantities, monotonic- Increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normal.
Who this course is for:
- Secondary and High Schools students taking Calculus 1 (Differential Calculus)
- Students preparing for Calculus 1 (Differential Calculus) tests / exams at ‘O’ Level or its equivalence
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